What is the Least Common Multiple of 24859 and 24869?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 24859 and 24869 is 618218471.
LCM(24859,24869) = 618218471
Least Common Multiple of 24859 and 24869 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24859 and 24869, than apply into the LCM equation.
GCF(24859,24869) = 1
LCM(24859,24869) = ( 24859 × 24869) / 1
LCM(24859,24869) = 618218471 / 1
LCM(24859,24869) = 618218471
Least Common Multiple (LCM) of 24859 and 24869 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24859 and 24869. First we will calculate the prime factors of 24859 and 24869.
Prime Factorization of 24859
Prime factors of 24859 are 24859. Prime factorization of 24859 in exponential form is:
24859 = 248591
Prime Factorization of 24869
Prime factors of 24869 are 13, 1913. Prime factorization of 24869 in exponential form is:
24869 = 131 × 19131
Now multiplying the highest exponent prime factors to calculate the LCM of 24859 and 24869.
LCM(24859,24869) = 248591 × 131 × 19131
LCM(24859,24869) = 618218471
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